What is the length (in cm) of the smallest altitude of the trinagle whose sides are 5 cm, 12 cm and 13 cm? (correct to one decimal place)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4.6
The sides of the triangle are 5, 12 and 13.
Area of triangle = , where s = 15
=
= 5 × 3 × 2
= 30 cm2.
As one knows the base and their corresponding height is inversely proportional.
⇒ 30 = 1/2 × 13 × h
⇒ h = 4.6.